Problem Solving with Linear Relationships: Tables and Graphs

This video tutorial teaches how to solve problems involving linear relationships using tables, equations, and graphs. It begins with an introduction to linear functions, highlighting common student mistakes. A real-world problem involving carnival rides is presented, and three methods to solve it are demonstrated: using a table, deriving an equation, and plotting a graph. Each method is explained step-by-step, emphasizing the importance of understanding the slope and y-intercept in linear functions.

What is a common mistake students make when identifying the y-intercept in a linear equation?

• Using the wrong formula

• Assuming the first point is the y-intercept

• Confusing the slope with the y-intercept

• Ignoring the x-axis

In the carnival problem, what is the constant rate of change for the rides?

• $0.50

• $0.75

• $1.00

• $1.25

How can you determine the cost of 8 rides using the table method?

• Divide the total cost by the number of rides

• Subtract $0.75 for each ride starting from the cost of 2 rides

• Multiply the number of rides by the entrance fee

• Add $0.75 for each ride starting from the cost of 2 rides

What is the y-intercept in the equation derived from the carnival problem?

• $5.50

• $4.00

• $0.75

• $10.00

Which method involves plotting points on a graph to solve the carnival problem?

• Table method

• Algebraic method

• Equation method

• Graphing method